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Finding the Third Proportional to 182,898 and 269,430

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Solution

The third proportional to 182,898 and 269,430 is: 396,901.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,898 : 269,430 = 269,430 : x
  2. Step 2: Convert to fraction form
    182,898/269,430 = 269,430/x
  3. Step 3: Cross multiply
    182,898x = 269,430 × 269,430
  4. Step 4: Simplify right side
    182,898x = 72,592,524,900
  5. Step 5: Solve for x
    x = 72,592,524,900/182,898
  6. Step 6: Final answer
    x = 396,901.69

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.